Question 1189811
A woman has 25 coins in her pocket, all of which are dimes and quarters.
 If the total value of the coins is $ 4.75,
 how many dimes and how many quarters does she have?
:
d = no. of dimes
q = no. of quarters
:
"A woman has 25 coins in her pocket, all of which are dimes and quarters."
d + q = 25
"If the total value of the coins is $ 4.75,"
.10d + .25q = 4.75
:
how many dimes and how many quarters does she have?
 multiply above equation by 10, subtract the first equation
d + 2.5q = 47.5
d + q = 25
-----------------subtraction eliminates d, find q
0 + 1.5q = 22.5
q = 22.5/1.5
q = 15 quarters
then
25 - 15 = 10 dimes
:
:
Check
15 * .25 = 3.75
10 * .10 = 1.00
----------------
totals to 4.75